What is the surface area of a cylinder that is 5 centimeters high
and has a diameter of 1.5 centimeters?
7.57 cm
B 8.6257 cm
C 10.57 cm
D 19.557 cm
To find the surface area:
⇒ let's define what makes up the surface area of a cylinder
⇒ it is made up of two circles as its bases and its side is a long
rectangular piece curved around
Area of Two Circles
⇒ Area of Circle Formula = [tex]\pi r^{2}[/tex]
⇒ Area of Two Circle Formula = [tex]2\pi r^{2}[/tex]
⇒ since r: is length of radius --> 0.75 cm (radius is half of diameter)
⇒ Area of Two circles: [tex]2\pi (0.75)^{2} =3.5343[/tex]
Area of Rectangular piece curved around to form Cylinder
⇒ length: circumference of a circle ⇒ [tex]2\pi r[/tex]
⇒ width: height of the cylinder ⇒ 5cm
⇒ Area of Rectangular piece: [tex]2*\pi *0.75*5=[/tex] 23.5169
Total Area = 27.0512 = 8.6257[tex]\pi[/tex] square centimeters ⇒ Choice (B)
Hope that helps!
Answer:
56.25
Step-by-step explanation:
i just did the test
How do I do this question
Answer:
Step-by-step explanation:
(a). sin2x + sinx = 0 ( 0 ≤ x ≤ 2π )
sin2x = 2sinx(cosx)
2 ( sin x )( cos x ) + sin x = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0 ⇒ x = 0 , [tex]\pi[/tex] , [tex]2\pi[/tex]
2 cos x = - 1
cos x = [tex]-\frac{1}{2}[/tex] ⇒ x = [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex]
x ∈ { 0 , [tex]\frac{2\pi }{3}[/tex] , [tex]\pi[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]2\pi[/tex] }
(b). sin 2x - 2 cos x = 0 ( 0 ≤ x ≤ 2π )
2 cos x ( sin x - 1 ) = 0
cos x = 0 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]
sin x = 1 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]
x ∈ { [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex] }
Sam poured 1/2 of the punch from a 3 litter bottle while serving guests at a gathering. How much punch ,in litters, is still left in the bottle?
Answer:
1.5 litres
Step-by-step explanation:
1/2 of the punch in a 3 litre bottle is found by dividing 3 by 2, splitting it in half. 3÷2=1.5, or 1 and a half litres
2800 square feet at $20 a square foot how much would that cost
Joe's softball team was in a tournament. If a team lost one game they were eliminated. His team won the tournament, defeating four other teams. How many teams were entered in the tournament?
No biggy just need some help
Answer:
betwen year 5 and 6
Step-by-step explanation:
th prize will drop betwen 5 and 6 years.
i think its the correct answer
100 POINTS WILL MARK BRAINLIEST NEED BY 9:00
Answer:
Hello! Here are your answers for Part A:
4(x + 6) - 11 = 25 is a multi-step equation.
-1/2(2/3a - 4) = 1/2a - 7 is an equation with rational coefficients.
y - 23 = 8 is a one-step equation.
-3m - 2 = -17 is a two-step equation.
For Part B:
Find the common denominator -
x/2 - 7 = 4
x/2 + 2(-7)/2 = 4
Combine the fractions with the common denominator -
x/2 + 2(-7)/2 = 4
x + 2(-7)/2 = 4
Multiply the numbers -
x + 2(-7)/2 = 4
x - 14/2 = 4
Multiply all terms by the same value to eliminate fraction denominators -
x - 14/2 = 4
2 * x - 14/2 = 2 * 4
Cancel multiplied terms that are in the denominator -
2 * x - 14/2 = 2 * 4
x - 14 = 2 * 4
Multiply the numbers -
x - 14 = 2 * 4
x - 14 = 8
Add 14 to both sides -
x - 14 = 8
x - 14 + 14 = 8 + 14
Simplify -
x - 14 + 14 = 8 + 14
x = 8 + 14
x = 22
The solution to this equation is 22. 6 is NOT a solution.
Hope this helps! Have a great day.
I have taken a picture for easier access.
8x5/4 <.>.= 8
can some one please answer this for me please
>.
hope it helps...!!!!!!
4\5 divided by 3\7 what is the answer
4\5 divided by 3\7
solution:4/5 ÷ 3/7
4 = dividend numerator
5 = dividend denominator
3 = divisor numerator
7 = divisor denominator
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
you multiply the dividend denominator by the divisor numerator to make a new denominator:
4 × 7/ 5 × 3
= 28/15
Thus, the answer to 4/5 divided by 3/7 in fraction form is 28/15.
Arrange the three side
lengths in increasing
order.
Answer:
a < c < b
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°
Therefore, the measure of the missing angle (opposite side c) is:
180° - 69° - 54° = 57°
Relationship between sides and interior angles of any triangle:
The shortest side is always opposite the smallest angleThe longest side is always opposite the largest angleTherefore, from inspection of the triangle:
a is opposite the smaller angle of 54°c is opposite the angle of 57°b is opposite the largest angle of 69°So the side lengths in increasing order are:
a < c < b
Rest angle:-
180-(69+54)180-12357Note that smaller side has smaller opposite angle
Hence the order is
a<c<bWhich of the following is evaluating to 3(y+4)-7?
#3. Using the table of values, which equation represents the linear
function? *
х: -2, 0, 2, 4, 6
у: 1, -9, -19, -29, -39
O y = -x + 10
O y = 10x + 1
O y=-10x - 9
O y=-5x - 9
Answer:
y = -5x + 9.
Step-by-step explanation:
Lets look for the relation between x and y.
Try the first one:
When x = -2, y = -(-2) + 10 = 12
In the table y = 1 so its not this one.
Number 2:
x = -2, y = 10(-2) + 1 = -18 - Not thios one
Number 3:
When x = -2, y = -10(-2) - 9 = 11
Not this one
Number 4:
y = -5(-2) - 9 = 1
This is the one.
Check again with x = 0:
When x = 0, y = -5(0) - 9 = -9.
5. John is tiling the living room floor of his home. The living room is a rectangular shape
room that is 10 ft. 9in, by 15ft. 3 in.
a. What is the perimeter of the room?
B. How many 6in by 6in square tiles are required to cover the floor?
C. Calculate 10% of the answer from
Part b (this accounts for the overage due to grout and waste)
The perimeter of the room is 624 inches.
We need 657 tiles to cover the floor.
We need to add 66 extra tiles to account for the overage due to grout and waste.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Length = 10 ft 9in
Width = 15ft 3 in
a.
Perimeter = 2 (Length + Width)
Length = 10 ft 9 in = (10 x 12) + 9 = 129 in.
Width = 15 ft. 3 in. = (15 x 12) + 3 = 183 in
Perimeter.
= 2(129 + 183)
= 624 in.
b.
Area = Length x Width
Area = 129 in. x 183 in
Area == 23,607 in²
Each tile covers an area of 6 in. x 6 in
Area of tiles = 36 in²
So,
The number of tiles required.
= Area ÷ Tile area
= 23,607 in² ÷ 36 in²
≈ 656.3 tiles.
c.
10% of 657
= 10/100 x 657
= 0.1 x 657
= 65.7
= 66
Thus,
The perimeter of the room is 624 inches.
We need 657 tiles to cover the floor.
We need to add 66 extra tiles to account for the overage due to grout and waste.
Learn more about rectangles here:
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I took a drivers ed Final exam the other day and got a 91. there were 175 questions how many did i get wrong.
Answer:
Step-by-step explanation:
You got 91% of the questions right out of 175. In math words, this is saying that:
[tex]\frac{91}{100}*175=x[/tex]
[tex]x=159.25[/tex]
So, you got 175 - 159 = 15.75 questions wrong. The decimal could be from getting only part of a question wrong. So you got partial credit for one question
Answer: 15
Step-by-step explanation:
160/175
=0.914285714285 or 0.91
175-160
=15
...And there you go
Which figures demonstrate a single translation?
Select each correct answer.
Answer:
Bottom left & bottom right
Step-by-step explanation:
Bottom left & bottom right are only being moved in x-axis (i direction) & y-axis (j direction)
Top left uses translation and rotation
To right uses reflection
12) A radio transmission tower is 170 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 30° with the ground? Give your answer to the nearest tenth of a foot.
13) A building 230 feet tall casts a 100 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.)
The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°
What is trigonometric ratio?
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
a) Let l represent the length of the guy wire.
sin(30) = (170 - 15) / l
l = 310 feet
b) Let Ф represent the angle, hence:
tanФ = 100/230
Ф = 23°
The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
Evaluate 1/2x^4-1/4x^2 for x=2
Answer:
7
Step-by-step explanation:
To evaluate an expression given a valeu means to substitute the value in. So :
1/2(2)^4 - 1/4(2)²
First we do powers since we follow BODMAS/BIDMAS :
1/2(16) - 1/4(4)
Now we do multiplication:
8 - 1
Now we do the only step left of simplification through subtraction:
8 - 1 = 7
Hope this helped and brainliest please
The value of (1/2)x⁴ - (1/4)x² when x = 2 is 7.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is (1/2)x⁴ - (1/4)x².
We have to calculate the value of the expression when x = 2.
Substitute x = 2 in the expression.
(1/2)x⁴ - (1/4)x² = (1/2) (2)⁴ - (1/4) (2)²
= (1/2) × 16 - (1/4) × 4
= 16/2 - 4/4
= 8 - 1
= 7
Hence the value of the expression when x = 2 is 7.
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Which of the following are solutions to the equation below?
Check all that apply.
5x^2 - 2x + 16 = 4x^2 + 6x
A. -6
B. 4
C. -4
D. -3
E. 18
F. 6
5x²-2x+16=4x²+6x
5x²-2x+16-4x²-6x=0
x²-8x+16=0
D= b²-4ac
= (-8)²-4×1×16
=0
x=-b/2a
= 8/2
=4
-> B
Answer:
4! I figured it would be more than just one answer but it’s only 4
Step-by-step explanation:
Which function corresponds to the graph below? A. f(x)= -4/2(x+1/2 +3 B. f(x)=4/2(x+1/2-3 C. f(x)=4/-2x(x+1+3 D. f(x)=4/-2(x+1)-3
Answer:
B.f(x)=4/2(x+1/2-3
Help help help math math
Answer:
If I did the math right you should get this answer: x<=1
Step-by-step explanation:
5x<=-3x+8
5x+3x<=-3~x+8+3x
8x<=-3x+8+3x
8x<=-3x+3x+8
8x<=8
A charm bracelet costs $65, plus $25 for each charm. The equation −25x+y=65 represents the cost y of the bracelet, where x is the number of charms.
The bracelet cost:
Okay, Middle school for me is from 9:30 AM to 4 PM. How many hours would that be? (I'm giving out brainliest)
Answer:
6 hours and 30 minutes my dude
What are the values of a and y
The value of a is
The value of y is
Explain how to find if the value of the expression if between 0 and 1. Do you have to find the exact value of the expression?
The statement that determines if an expression has its value between 0 and 1 is the IF conditional statement
How to determine the value of the expression?
To find if the value of an expression is between 0 and 1, we make use of an IF conditional statement
Assume the programming language is Python, and the expression is represented by the variable x.
The statement that determines the range of the expression is:
if x >= 0 and x <= 1
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Question 3 of 10
If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).
O A. 3x2 + 8
O B. x + 8
O C. 3x2 - 6
D. x2 - 6
Answer:
C. 3x^2 -6
Step-by-step explanation:
f(x) = 2x^2 +1
g(x) = x^2 -7
(f+g)(x) is simply the sum of the above functions.
(f+g)(x) = 2x^2 +1 + x^2 -7 = 3x^2 -6
What is the most logical first step in solving the equation x^2 + 6x + 9 = 10?
A. Take the square root of both sides of the equation
B. Subtract 10 from both sides of the equation
C. Factor the left side of the equation
D. Subtract 9 from both sides of the equation
What do most banks offer with savings accounts?
A. No transaction fees
B. A larger amount of money
C. Lower minimums
D. Interest
can someone please ASAP
Answer:
1. 168 inches squared 2. 55 centimeters squared 3. 18 meters squared 4. 62 feet squared
Step-by-step explanation:
To find the area of a parallelogram, multiply the base times the height. For numbers three and four, do the same thing, except subtract the area of the rectangles inside them (the area for the rectangles are also base times height).
Find the volume of the sphere
Answer:
V = 2 144.66058485063 m³
Step-by-step explanation:
Formula : ( volume V of a sphere of radius r )
[tex]V\ =\ \frac{4}{3} \times \pi \times r^{3}[/tex]
Therefore
[tex]V\ =\ \frac{4}{3} \times \pi \times 8^{3}[/tex]
[tex]V\ =\ \frac{4}{3} \times \pi \times 512[/tex]
⇒ V = 2 144.66058485063 m³ (use a calculator)